Final answer:
The complement of subleased apartments in the complex is the number of apartments that are not subleased. With a total of 270 apartments and 174 subleased, there are 96 apartments that are not subleased.
Step-by-step explanation:
To find the number of outcomes in the complement of the event where apartments are subleased in a complex, we start by understanding that the complement of an event includes all possible outcomes that are not part of the event itself. If there are 270 apartments in total and 174 are subleased, the complement is the number of apartments that are not subleased. So, we simply subtract the number of subleased apartments from the total number:
Total apartments (S) = 270
Subleased apartments (A) = 174
Not subleased apartments (A') = S - A
Number of outcomes in the complement (A') = 270 - 174 = 96